TRABAJO N5.docx

IC-444

UNIVERSIDAD NACIONAL DE SAN CRISTÓBAL DE HUAMANGA FACULTAD DE INGENIERIA MINAS, GEOLOGIA Y CIVIL ESCUELA DE FORMACION PROFESIONAL DE INGENIERIA CIVIL

INFORME Nº 05 RELACION ENTRE DOS SISTEMAS DE COORDENADAS

DOCENTE : Ing. YACHAPA CONDEÑA, Rubén Américo CURSO:

ANAISIS ESTRUCTURA II Ic-444

AU!NO:

!ORAES "UISPE, #$cob

ANAISIS ESTRUCUTA II

P%gin$ &

IC-444

AYACUCHO 'PERU ()&4 EJERCICIOS PROPUESTOS

D$*o+ o+ +i+m$+ Q – q y Q* - q* n o+ /rcicio+ &, ( 0 1. S 2i* c$cu$r: i3 ii3

$ m$ri T, $ 5u q=Tq*. $ m$ri T1, $ 5u Q=T1Q*. −1 Tt =T 1 iii3 Com2rob$r 5u .

EJERCICIO Nº 01 A

A

A0 I0

A0 I0

3 1

B

2

A0 I=œ

D

3

4

B

A0 I=œ

A0 I0

2

A0 I0

A =œ I0

A =œ I0

E4 C

E1 C

Q-q

Q* - q*

Solu!"# !$

D

T: C%lul%&o' l % &%()!* q *1 = 1 q * i = 0 i ≠1 %$ + %)%


P%gin$ (

IC-444

A

B

D

E C

T11 = 0


T21 =

0

P%gin$ 1

T31

=

0

T41 = 1

IC-444 q*2

=

q*i = 0

1

+

i≠2 %)% A

B

D

D'

E C

T12 = 0 q *3

-$

=

q *i = 0

1

+

T32 = 0

T22 = 0

T42 = 0

i≠3

%)% A

D'

B

D

E C

T13

=


0

T23 = 1 / L

P%gin$ 4

T33

=

0

T43 = 0

IC-444 q*4

$

=

q *i = 0

1

+

i≠

4

%)% A

B

B'

D

E C

T14 = 1

T34 = 0

T24 = 0

T44 = 0

T Por o $no, $ m$ri * r$n+6orm$ci7n +:

0 0  T = 0  1

0

0

1

0

1/ L

0

1

0

0

0

T1 : !!$ C%lul%&o' l% &%()!* Q *1 = 1 Q * i 0 i ≠1 %$ + %)% P)o-l.&% P)!&%)!o =


P%gin$ 8

  0  0

IC-444 A

B

R1

D

R3

R2

R4

E

1

C

E/u!l!-)!o . &!.&-)o' A

B u B

N B

D u-u' L

u' D

u-u' L

E C N

E/u!l!-)!o . #uo' Nuo B u-u' L R1

u

R2

N

Nuo D


P%gin$ 9

IC-444 u-u' L R3

u'

T111 =


0

T121 =

0

P%gin$ 

T131

=

0

T141 = 1

IC-444 Q *2

-$

Q *i 0 i≠2 + %)% P)o-l.&% P)!&%)!o =

1

=

A

B

R1

R3 1

D

R2

R4 E C

E/u!l!-)!o . #uo' Nuo B u-u' L R1

u

R2

N

Nuo D u-u' L R3

u'

T112 = 0


T122 = 0

P%gin$ ;

T132 = 1

1

T142 = 0

IC-444 Q *3 = 1

$

Q*i 0 i≠3 + %)% P)o-l.&% P)!&%)!o =

A

1

B

R1

R3

D

R2

R4 E C

E/u!l!-)!o . #uo' Nuo B u-u' L R1

u

R2

N

Nuo D u-u' L

1 R3

u'

T113


=

0

T123 = L

P%gin$ <

T133

=

0

T143

=

0

IC-444 Q *4

$

Q *i 0 i≠ + %)% P)o-l.&% P)!&%)!o =

1

=

4

A

B

1 R1

R3

D

R2

R4 E C

E/u!l!-)!o . #uo' Nuo B u-u' L 1

R1

u

R2

N

Nuo D u-u' L R3

u'

T114 = 1


T124 = 0

T134 = 0

P%gin$ &)

T144 = 0

IC-444


P%gin$ &&

IC-444 T1 Por o $no, $ m$ri * r$n+6orm$ci7n +:

0 0 T1 =  0  1 T t = T1

0

0

1

0

L

0

1

0

0

0

  0  0

−1

!!!$ S. u.. #o(%) /u.

t

T = T1

−1

0 0 = 0  1

0

0

1

0

1

0

1/ L

0

0

0

  0  0

EJERCICIO Nº 02

1 1

A

A0 I=œ

2

A =œ I0

B

A =œ I0

A =œ I0

E

C

4

3

A =œ I0

T

:

C%lul%&o' l % &%()!* q *1 = 1 q * i = 0

i ≠1 %)%


P%gin$ &(

A =œ I0

C

2

A =œ I0

4

D

F

Q* - q*

Solu!"#

+

A =œ I0

E F

Q - q

%$

B

A0 I=œ

A =œ I0

3

D

!$

A

IC-444

C'

A

B

C

B'

C''

E D

F

tg 53º = x = 4 / 3

q*2

=

q*i = 0

1

+

T21 = 4 / 3

T11 = 0

T31

=

T41 = 1

0

i≠2 %)%

A

C

B

E D

F

T12 = 0 q *3

-$

=

q *i = 0

1

+

T22 = 0

i≠3

%)%


P%gin$ &1

T32 = 0

T42 = 1

IC-444

A

A'

C

B

E D

F

T13 = 1


T23 = 0

T33

P%gin$ &4

=

0

T43 = 0

IC-444 q*4

=

q *i = 0

1

+

i≠4 %)%

A

C

B

E D

F

T14 = 1

T34 = 1 T44 = 0

T24 = 0

T Por o $no, $ m$ri * r$n+6orm$ci7n +:

 0 4 / 3 T =  0   1 T1 : !!$ C%lul%&o' l% &%()!* Q *1 = 1 Q * i 0 i ≠1 %$ + %)% P)o-l.&% P)!&%)!o =


P%gin$ &8

0

1

0

0

0

0

0

0

1

0

  1  0

IC-444

1

R2

R1 A

R4

B

R3

C

E

D

F

E/u!l!-)!o . &!.&-)o'

u N1 A

A

B

u-u' L

N3 B

u'

u-u' L

C N3

N2 B

C

E

D

F

N2 N1

E/u!l!-)!o . #uo' Nuo A u-u' L R1

u

N1

Nuo B


P%gin$ &9

IC-444 u-u' L

R2

u'

N3

N2

Nuo C 1 R4

N3

T111 = Q *1 = 2

-$

Q *i

+

=

0

T121 = 3 / 4

T131

=

0

T141 =

0

i≠2

0

%)%

P)o-l.&% P)!&%)!o

R2

R1 A

R4 C

1

B

R3

E

D

F

E/u!l!-)!o . #uo' Nuo A


P%gin$ &

IC-444 u-u' L R1

u

N1

Nuo B u-u' L R2

N3

u'

N2

Nuo C R4

N3

T112 = 0


T122 = 0

1

T132 = 0

P%gin$ &;

T142 = 1

IC-444 Q *3 = 1

$

Q*i 0 i≠3 + %)% P)o-l.&% P)!&%)!o

1

=

R2

R1 A

R4 C

B

R3

E

D

F

E/u!l!-)!o . #uo' Nuo A u-u' L 1

R1

u

N1

Nuo B u-u' L R2 u'

N2

Nuo C N3


R4

P%gin$ &<

N3

IC-444

T113 = 1


T123

=

0

T133

P%gin$ ()

=

0

T143

=

0

IC-444 Q *4

$

Q *i 0 i≠ + %)% P)o-l.&% P)!&%)!o =

1

=

4

R2

R1 A

R4 C

B

R3 E

1

D

F

E/u!l!-)!o . #uo' Nuo A u-u' L R1

u

N1

Nuo B u-u' L R2 u'

N2

Nuo C N3


R4

P%gin$ (&

N3

IC-444

T114 = 0

T134 = 1

T124 = 0

T144 = 0

T1 Por o $no, $ m$ri * r$n+6orm$ci7n +:

 0 3 / 4 T1 =   0   0 T t = T1

0

1

0

0

0

0

0

0

1

0

  1  0

−1

!!!$ S. u.. #o(%) /u.

t

T = T1

−1

0 0 = 1  0

4/3

0

0

0

0

1

0

0

0

1

  0  0

EJERCICIO Nº 03 P$r$ $ +iguin +rucur$ com2u+$ 2or mno+ o$mn =>ib+ + *$n *o+ +i+m$+ * coor*n$*$+ gnr$i$*o+,  2rimro *i?r * +gun*o n $ θ

coor*n$*$ uno, +% incin$*o un %nguo q = Tq * .

c$cu$r $ m$ri T $ 5u


P%gin$ ((

con r+2co $ $ @orion$. S 2i*

IC-444

2

5

A

2

B 3

1

4

5

A

6

B 3

D

C

4 6

D

C

Q - q

Q* - q*

Solu!"# T: !$ C%lul%&o' l% &%()!* q *1 = 1 q * i = 0 i ≠1 %$ + %)% A''

A

A'

B

D

C

T11 =

q*2

-$

cos θ

=

T21 =

q*i = 0

1

+

T31

0

=

0

i≠2 %)%


P%gin$ (1

T41 = 0

T51

=

0

T61

=

0

IC-444 A' A'' A

B

D

C

T12 = senθ q *3

=

q *i = 0

1

$

+

T32 = 0

T22 = 1

T42 = 0

T52 = 0

i≠3

%)%

A

B

D

C

T13

=

$

T23 = 0

0

q*4

=

T62 = 0

q*i = 0

1

+

T33 = 1

i≠4 %)%


P%gin$ (4

T43 = 0

T53

=

0

T63

=

0

IC-444

A

B

B'

D

C

T14 = 0

q*5

=

T34 = 0

T24 = 0

q*i = 0

1

.$

+

T44 = 1

T54 = 0

T64 = 0

i≠5

%)% B'

A

B

D

C

T15 q*6

4$

=

=

0

T25 = 0

q *i = 0

1

+

T35 = 0

i≠6

%)%


P%gin$ (8

T45 = 0

T55 = 1

T65 = 0

IC-444

A

B

D

C

T16

=

0

T26 = 0

T36 = 0

T46 = 0

T Por o $no, $ m$ri * r$n+6orm$ci7n +: cos θ senθ 0 0

   T =   

T56 = 0

0

0

0

1

0

0

0

0

0

0

1

0

0

0

0

0

1

0

0

0

0

0

1

  0  0 0

0

0

0

0

0

1 

T66 = 1

EJERCICIO Nº 03 $+ +iguin+ ?gur$+ mu+r$n un$ +rucur$ 0 $+ 6ur$+ >rn$+ 5u $c$n, $+B como o+ *i$gr$m$+ * *6orm$ci7n mn$+, 2$r$ un *rmin$*o +i+m$ * coor*n$*$+. C$cu$r  cor * c$rg$+ gnr$i$*$+6


P%gin$ (9

IC-444 W2 W1

A

W1

B

A0 W3

I=œ

W4 W6

A =œ I0

A0 I0

D

C Estado d !a"#a

1 q D$o"%ada &%ta&


2 q D$o"%ada &%ta&

P%gin$ (

3 q D$o"%ada &%ta&

IC-444

Solu!"# !$ E/u!l!-)!o . .l.&.#(o' N B

B

u

C

C u'

u-u' L

u-u' L

D

C

N

P)o-l.&% P)!&%)!o R2 W2

R1

W1

R2

W1

A

B W3

D

C

E/u!l!-)!o . #uo' Nuo A


W4 W6

P%gin$ (;

R3

IC-444 R2 W2

R1

(uta A u-u' L

A

W1

u

W3

R2

u-u' Nuo L

B W1 W4

u'

R3

W6

N

R1 = W1

R2 = W3 + W6 − W2 L

R3

=

W4

Por o $no, $ m$ri * cor+ +:

W1   Q = W3 + W6 − W2 L 

 


W4

P%gin$ (<

 

IC-444 EJERCICIO Nº 07 E$bor$r un 2rogr$m$ * com2u$ci7n 2$r$ obnr  cor * c$rg$+ gnr$i$*$+ :

Solu!"# %$ Co!8%!"# .l P)o9)%&% E 2rogr$m$ +% co*i?c$*o n  ngu$/ * 2rogr$m$ci7n * !ATA m-?3, 5u +% *ii*i*o n r+ m-?+: Auor.m, c$rg$+.m 0 +rucur$.m.

Au(o)6& disp('***UNIVERSIDAD NACIONAL DE SAN CRISTÓBAL DE HUAMANGA***') disp('

FACULTAD DE INGENIERÍA DE MINAS, GEOLOGÍA Y CIVIL')

disp(' ESCUELA DE FORMACIÓN ROFESIONAL DE INGENIERÍA CIVIL') disp('

AN!LISIS ESTRUCTURAL II')

disp('

(IC"###) ')

disp('

C!LCULO DE VECTORES DE CARGA')

disp('DOCENTE$ M%& I%& YACHAA CONDEA, R+ A&') disp('ALUMNO $ MORALES UISE -ACOB&') disp(' AYACUCHO " ER.') disp('

/01#')

C%)9%'6& 2A334%56 786895 disp('INGRESO

DE CARGAS ARA LA ESTRUCTURA'):

disp('"""""""""""""""""""""""""""""""""""""' ): ;p3i8; ('< DEFINICION DE LA MATRI= DE CARGAS  $ <'): >?436s(1,%5): p895 > ?436s(@,6d): V1>ip8('< Eis84 93%9s 4 59s 89s  $ ','s'):


P%gin$ 1)

IC-444 i; V1 >> 's'  > ip8 ('< C989s 89s 93%9d9s 9 $'): ;63 i>1 $ i; i>>1 45s4 disp('si%i484 89 93%9d9

'):

4d NC > ip8 ( ' < N d4 59 89 93%9d9 $'): 1(1)> ip8 ( '< F43?9 63i?6895 $ '): p895(1,NC)> 1(1): 1(/)> ip8 ( '<

F43?9 438i95 $ '):

p895(/,NC)> 1(/): 1(@)> ip8 ( '<

M6J486 $ '):

p895(@,NC)> 1(@): VC-(i,$)>CG(NC,$): ;63 J >1 $@ >VC-(i,J): i; 1(J)K>0 ()>1(J): 45s4 4d 4d 4d 7C- > ': 45s4 V1 > '' : 7C- > ': 4d >?436s(1,%5):


P%gin$ 1&

IC-444 34p938id9 > ?436s(1,J3): /795J9 (J3,) > ?436s: V@ > ip8 ('< Eis84 93%9s 4 56s Ji4J36s$ ','s' ): i; V@>>'s' J> ip8 ('< C986s Ji436s 93%9d6s 9$ '): ;63 55>1$J i; 55>>1 MC > ip8(

'< N d45 p3iJ43 Ji4J36 93%9d6 $'):

V# > ip8( '< E5 Ji4J36 8i44 93%9 i;63J4J484 dis83iid9' ,'s'): 45s4 MC > ip8 ( '< N d45 si%i484 Ji4J36 93%9d6 $'): V#>ip8('< E5 Ji4J36 8i44 93%9 i;63J4J484 dis83iid9' ,'s'): 4d i; V#>>'s' 93> ip8 ('< C93%9 dis83iid9$ '): 34p938id9(1,MC)>93: 9/(1)>0 : 9/(#)>0 : 9/(/)> 93*L(MC)/ : 9/()>9/(/): 9/(@)> 93*(L(MC)/)1/: 9/()>"9/(@): 45s4 V# >

'':

9/(1)> ip8 ( '< F43?9 9i95 N&I& $ '): 9/(/)> ip8 ('< F43?9 638984 N&I& $ '): 9/(@)> ip8 ('< M6J486 N&I& $ '):


P%gin$ 1(

IC-444 9/(#)> ip8 ( '< F43?9 9i95 N&F& $ '): 9/()> ip8 ( '< F43?9 638984 N&F& $ '): 9/()> ip8 ( '< M6J486 N&F& $ '): 4d />9/': ;63 JJ >1$ /795J9(MC,JJ)>/(JJ)': 4d ;63 J>1$ ;63 >1$ T/7@I(J,)>T/7@(MC,J,): 4d 4d T/7@I: 5493 @ @ > ("1)*T/7@I'*/ : ;63 % >1 $  > VC(MC,%): i;  K>0 ()> @(%)P(): 45s4 4d 4d 4d 7CM > ' : 45s4 V@>'':

7CM > ' :


P%gin$ 11

IC-444 4d

222222222222222234p938id9

;p3i8;( '< V4863 d4 C93%9s T68954s$'):  > 7C- P 7CM



E'()u(u)%6& 2 A334%56 CG& C663d49d9s %443954s disp('6%9 (s) p939 SI,

()p939 NO$'):

i%9>ip8('Es s659J484 4s83839 d4 i%9s $','s'): 6d>ip8('NJ436 d4 d6s 868954s

$'):

3>ip8('

$'):

NJ436 d4 9p66s

%5>0: CG>64s(6d,@): 2 995isis d4 34s83ii64s ;63 i>1$3 i; i>>1 disp('

D986s d45 p3iJ43 9p66

'):

D986s d45 si%i484 9p66

'):

45s4 disp('

4d d34s> ip8 ( '

NJ436 d45 9p66 $'):

Q1 > ip8 ( 'S4 d4sp59?9 4 Q $','s'): i; Q1>>'' CG(i,1)>0:


P%gin$ 14

IC-444 45s4 4d Y1 >

ip8('S4 d4sp59?9 4 Y $','s'):

i; Y1>>'' CG(i,/)>0: 45s4 4d R1 >

ip8 ('Ti44 3689i $','s'):

i; R1>>'' CG(i,@)>0: 45s4 4d 4d 2 %39d6s d4 5i4389d ;63 i>1$6d ;63 >1$@ i; CG(i,)K>0 %5>%5P1: CG(i,)>%5: 45s4 4d 4d 4d 2 2 CG 2 A334%56s 4863i954s ii  ;i& Nd6s iii954s  ;i954s& J3 >ip8('

NJ436 d4 Ji4J36s$' ):

;63 i>1$J3 ;p3i8; ('<

Mi4J36 2d$',i):

ii(i)>ip8 ( '< NJ436 d4 s d6 iii95$'): ;i(i)>ip8 ( '< NJ436 d4 s d6 4d ii:


P%gin$ 18

;i95$'):

IC-444 ;i: 2 A334%56 VC& V48634s d4 6569i6 ;63 i>1$J3 ;63 >1$@ VC(i,)> CG(ii(i), ): VC(i,P@) > CG(;i(i),): 4d 4d VC: 2 A334%56 L, SENO  COSENO ;p3i8; ('< C663d49d9s p939 56s d6s$ <'): ;63 i>1$6d ;p3i8; ('< C663d49d9 d45 Nd6 2d$ ',i): (i) > ip8 ('<

E  J$'):

(i) > ip8 ( '<

E  J$'):

4d ;63 i>1$J3 D(i) > (;i(i)) "(ii(i)): D(i) > (;i(i)) "(ii(i)): L(i) > ((D(i))/ P (D(i))/)0&: SENO(i) > D(i)L(i): COSENO(i) > D(i)L(i): 4d L : SENO : COSENO : 2 M983i? @ 2;p3i8; ('< C939843is8i9s d4 56s Ji4J36s $ '):


P%gin$ 19

IC-444 2E59s> ip8 ('< M6d56 d4 E59s8iid9d TJ/ $'): E59s> 1: G>0&#*E59s: 2B489> ip8 ('< F9863 d4 F63J9 $'): B489>1: 9>?436s(%5,%5): ;63 i>1 $ J3 2;p3i8; ('< Mi4J36 2d$',i): B(i)>1: 2B(i) > ip8('< B9s4 J$'): H(i) >1: 2H(i) > ip8('< A5839 J$'): A349(i) > B(i)*H(i): I43i9(i) > B(i)*H(i)@1/: ;i > (@*E59s*I43i9(i)*B489)(G*A349(i)*L(i)/): >((#*E59s*I43i9(i))L(i))*((1P;i)(1P#*;i)): p>: 9>((/*E59s*I43i9(i))L(i))*((1"/*;i)(1P#*;i)): >((P9)L(i)): p>: 8>(Pp)L(i): 3>((E59s*A349(i))L(i)): 2M983i? d4 3i%id4? d4 Ji4J36 / 4 663d49d9s 56954s /(i,1,1)>3: /(i,1,)>0:

/(i,1,/)>0: /(i,1,)>0:

/(i,1,@)>0: /(i,1,#)>"3:

/(i,/,1)>0: /(i,/,/)>8: 8: /(i,/,)>p:

/(i,/,@)>: /(i,/,#)>0:

/(i,/,)>"

/(i,@,1)>0: /(i,@,/)>: : /(i,@,)>9:

/(i,@,@)>: /(i,@,#)>0:

/(i,@,)>"


P%gin$ 1

IC-444 /(i,#,1)>"3: /(i,#,/)>0: /(i,#,)>0: /(i,#,)>0: /(i,,1)>0: /(i,,)>8:

/(i,#,@)>0: /(i,#,#)>3:

/(i,,/)>"8: /(i,,@)>":/(i,,#)>0: /(i,,)>"p:

/(i,,1)>0: /(i,,/)>p: /(i,,@)>9: /(i,,#)>0: p:/(i,,)>p:

/(i,,)>"

2M983i? d4 p9s6 T/"@ T/7@(i,1,1)>COSENO(i):

T/7@(i,1,/)>SENO(i):

T/7@(i,1,#)>0:

T/7@(i,1,)>0:

T/7@(i,1,@)>0:

T/7@(i,/,1)>"SENO(i): T/7@(i,/,#)>0:

T/7@(i,/,/)>COSENO(i): T/7@(i,/,@)>0: T/7@(i,/,)>0: T/7@(i,/,)>0:

T/7@(i,@,1)>0: T/7@(i,@,#)>0:

T/7@(i, @,/)>0: T/7@(i,@,)>0:

T/7@(i,@,@)>1: T/7@(i,@,)>0:

T/7@(i,#,1)>0: T/7@(i,#,#)>COSENO(i):

T/7@(i,#,/)>0: T/7@(i,#,)>SENO(i):

T/7@(i,#,@)>0: T/7@(i,#,)>0:

T/7@(i,,1)>0: T/7@(i,,#)>"SENO(i):

T/7@(i,,/)>0: T/7@(i,,@)>0: T/7@(i,,)>COSENO(i):T/7@(i,,)>0:

T/7@(i,,1)>0: T/7@(i,,#)>0:

T/7@(i,,/)>0: T/7@(i,,)>0:

T/7@(i,1,)>0:

T/7@(i,,@)>0: T/7@(i,,)>1:

2M983i? d4 3i%id4? d4 Ji4J36 @ 4 663d49d9s %56954s ;63 J>1$ ;63 >1$ /I(J,)>/(i,J,): 4d 4d ;63 J>1$ ;63 >1$ T/7@I(J,)>T/7@(i,J,): 4d 4d ;p3i8; ('< M983i? d4 Ri%id4? 4 C663d& G56954s d45 Mi4J36 2d$ ',i): @>T/7@I'*/I*T/7@I


P%gin$ 1;

IC-444 2Es9J594 J989>@: ;63 >1 $: i; VC(i,)>>0: J989(,$)>0: J989($,)>0: 45s4 4d 4d >?436s(%5,%5): ;63 681>1$: ;63 68/>1$: i; J989 (681,68/)K>0, 6>VC(i,681): d6s>VC(i,68/): 834s>J989(681,68/): (6,d6s)>(6,d6s)P834s: 45s4 4d 4d 4d i; i>>1: 9>: 45s4 i; iK>1, 9>9P: 45s4 4d 4d 4d ;p3i8; ('< M98& d4 Ri%id4? d4 59 Es83839 d4 5i4389d)$'): M9873i%id4? > 9


P%gin$ 1<

(s656 p939 56s %39d6s

IC-444 93%9s:

-$ P%)% o.) o& )o-%) l% 'olu!"# .l )o9)%&% ).%l! *%o .# .l l.#9u%:. MATLAB ;&<8l.$, ).%l!*%).&o' u#% 'olu!"# %#%l=(!% o# u# .:.&lo %l!%(!>o Drmin$r  cor * c$rg$+ gnr$i$*$+ , 2or m*io * 2robm$ 2rim$rio 0 com2mn$rio 2$r$  m$rco 2$no * $ +iguin ?gur$ cu0o+ mno+ +on o$mn =>ib+. 2 )% B

C A0 I0

A0 I0

A0 I0

A

D

S!'(.&%  ? /

2 1

5

C

B 3

A

D

P)o-l.&% P)!&%)!o


4 6

P%gin$ 4)

IC-444 R2

R5 2 )%

R1 R3

B

C R4 R6

A

D

E/u!l!-)!o . .l.&.#(o'

2 )% B

B

C

2+) 6-6% ,

2+) 6-6% ,

)

4

)

!

4

A

D

E/u!l!-)!o . #uo' (uta B R2 R1 R3


(uta C 4)

4)

2+66, )-%

2+66, )-%

P%gin$ 4&

R5 R4 R6

IC-444 R1 = 0

R2 = −4T

R3 = 2.667T − m

R4 = 0

P)o-l.&% Co&l.&.#(%)!o 4 )

2+66, )-%

Por o 5u $ m$ri  +:

 0.000  − 4.000    2.667  Q=   0.000   0.000     0.000 


P%gin$ 4(

R5 = 0

R6 = 0

IC-444

$ Co&)o-%) l% 'olu!" # %#%l=(!% o# .l )o 9)%&% ).%l!*%o .# .l l.#9u%: . MATLAB ;&<8l.$ Ingr+$mo+ o+ *$o+ * $ +rucur$: como  nmro * no*o+, $2o0o+, mimbro+ 0 $+ r+2ci$+ coor*n$*$+ * o+ no*o+F $+B como $mbién +u+ r+2ci$+ c$rg$+ 0$ +$ n o+ mimbro+ o /un$+, 2$r$ + c$+o +oo >i+n c$rg$ r2$ri*$ n $ b$rr$. E u+u$rio *b




P%gin$ 41

IC-444



Po*mo+ no$r 5u $ +ouci7n * 2rogr$m$ n !ATA + $ mi+m$ 5u $ +ouci7n $n$Bic$, 2or o 5u + 2u* concuir 5u  2rogr$m$ + 2r6co.


P%gin$ 44

TRABAJO N5.docx

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